deformation.bib

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@inproceedings{AbbottKedlayaRoe2006,
 author               = {Abbott, T.G. and Kedlaya, K.S. and Roe, D.},
 booktitle            = {Arithmetic, Geometry, and Coding Theory {(AGCT-10)}},
 title                = {Bounding {Picard} numbers of surfaces using $p$-adic cohomology},
 year                 = {2006},
 }

@incollection{Bernstein2008,
 address              = {Cambridge},
 author               = {Bernstein, Daniel J.},
 booktitle            = {Algorithmic number theory: lattices, number fields, curves and cryptography},
 pages                = {325--384},
 publisher            = {Cambridge Univ. Press},
 series               = {Math. Sci. Res. Inst. Publ.},
 title                = {Fast multiplication and its applications},
 volume               = {44},
 year                 = {2008},
 }

@article{Berthelot1986,
 author               = {Berthelot, P.},
 journal              = {{Mém.} Soc. Math. Fr. (N.S.)},
 title                = {{Géométrie} rigide et cohomologie des {variétés algébriques de caractéristique} $p$.},
 volume               = {23},
 year                 = {1986},
 }

@article{Bombieri1966,
 author               = {Bombieri, E.},
 journal              = {Invent. Math.},
 pages                = {71-105},
 title                = {On exponential sums in finite fields},
 volume               = {88},
 year                 = {1966},
 }

@inproceedings{Brent1976,
 author               = {Brent, R.P.},
 booktitle            = {The Complexity of Computational Problem Solving},
 editor               = {Anderssen, R.S. and Brent, R.P.},
 pages                = {126--165},
 publisher            = {University of Queensland Press},
 title                = {The Complexity of Multiple-Precision Arithmetic},
 year                 = {1976},
 }

@article{Clark1966,
 author               = {Clark, D.N.},
 journal              = {Proc.\ Amer.\ Math.\ Soc.},
 pages                = {262-269},
 title                = {A note on the $p$-adic convergence of solutions of linear differential equations},
 volume               = {17},
 year                 = {1966},
 }

@article{Deligne1974,
 author               = {Deligne, P.},
 journal              = {Inst. Hautes Études Sci. Publ. Math.},
 title                = {La conjecture de {Weil. I.}},
 volume               = {43},
 year                 = {1974},
 }

@article{Dwork1962,
 author               = {Dwork, B.},
 journal              = {Publication Math\'ematiques de l'IH\'ES},
 pages                = {5--68},
 title                = {On the zeta function of a hypersurface~{I}},
 volume               = {12},
 year                 = {1962},
 }

@article{Dwork1964,
 author               = {Dwork, B.},
 journal              = {The {A}nnals of {M}athematics, {S}econd {S}eries},
 number               = {2},
 pages                = {227--299},
 title                = {On the zeta function of a hypersurface~{II}},
 volume               = {80},
 year                 = {1964},
 }

@article{EtesseLeStum1993,
 author               = {{\'E}tesse , J.Y. and Le Stum, B.},
 journal              = {{M}ath. {A}nn.},
 title                = {{F}onctions {L} associ{\'e}es aux {F}-isocristaux surconvergents. {I.} Interpr{\'e}tation cohomologique.},
 volume               = {296},
 year                 = {1993},
 }

@manual{FLINT,
 author               = {Hart, W. and Pancratz, S. and Novocin, A. and Johansson, F. and Harvey, D.},
 month                = {June},
 note                 = {\url{http://www.libflint.org}},
 title                = {{FLINT: Fast Library for Number Theory -- Version 2.2}},
 year                 = {2011},
 }

@article{Gerkmann2007,
 author               = {Gerkmann, R.},
 fjournal             = {International Mathematics Research Papers. IMRP},
 issn                 = {1687-3017},
 journal              = {Int. Math. Res. Pap. IMRP},
 pages                = {67},
 title                = {Relative rigid cohomology and deformation of hypersurfaces},
 volume               = {1},
 year                 = {2007},
 }

@article{Griffiths1969,
 author               = {Griffiths, P.A.},
 fjournal             = {Annals of Mathematics. Second Series},
 journal              = {Ann. of Math. {(2)}},
 month                = {November},
 number               = {3},
 pages                = {460--495 (resp.\ 496--541)},
 title                = {On the Periods of Certain Rational Integrals. {I}, (resp.~{II})},
 volume               = {90},
 year                 = {1969},
 }

@article{Hubrechts2010,
 author               = {Hubrechts, H.},
 journal              = {Finite Fields Appl.},
 title                = {Fast arithmetic in unramified {$p$}-adic fields},
 volume               = {16},
 year                 = {2010},
 }

@article{Katz,
 author               = {Katz, N.M.},
 journal              = {Inst. Hautes Études Sci. Publ. Math.},
 title                = {On the differential equations satisfied by period matrices.},
 year                 = {1968},
 }

@article{Kedlaya2001,
 author               = {Kedlaya, K.S.},
 journal              = {Journal of the Ramanujan Mathematical Society},
 title                = {Counting points on hyperelliptic curves using {M}onsky-{W}ashnitzer cohomology},
 volume               = {16},
 year                 = {2001},
 }

@inbook{Kedlaya2007,
 address              = {Providence, RI},
 author               = {Kedlaya, K.S.},
 booktitle            = {Computational arithmetic geometry},
 pages                = {71--81},
 publisher            = {Amer. Math. Soc.},
 series               = {Contemp. Math.},
 title                = {Search techniques for root-unitary polynomials},
 volume               = {463},
 year                 = {2008},
 }

@inproceedings{Kedlaya2008a,
 author               = {Kedlaya, K.S.},
 booktitle            = {$p$-adic Geometry: Lectures from the 2007 {Arizona} {Winter} {School}},
 editor               = {Savitt, D. and Thakur, D.S.},
 pages                = {175--201},
 publisher            = {American Mathematical Society},
 series               = {University Lecture Series},
 title                = {$p$-adic cohomology: from theory to practice},
 url                  = {http://swc.math.arizona.edu/aws/07/KedlayaNotes11Mar.pdf},
 volume               = {45},
 year                 = {2008},
 }

@book{Kedlaya2010,
 author               = {Kedlaya, K.S.},
 publisher            = {Cambridge Univ. Press},
 title                = {$p$-adic Differential Equations},
 year                 = {2010},
 }

@article{Kedlaya2012,
 author               = {Kedlaya, K.S.},
 journal              = {Contemporary Mathematics 572, American Mathematical Society},
 title                = {Effective {$p$}-adic cohomology for cyclic cubic threefolds, {C}omputational {A}lgebraic and {A}nalytic {G}eometry},
 year                 = {2013},
 }

@article{KedlayaTuitman2012,
 author               = {Kedlaya, K.S. and Tuitman, J.},
 journal              = {Rendiconti del Seminario Matematico della Universit\'a di Padova},
 pages                = {9},
 title                = {Effective bounds for {F}robenius structures},
 year                 = {2012},
 }

@article{KellerGehrig1985,
 author               = {Keller-Gehrig, W.},
 journal              = {Theoretical computer science},
 pages                = {309--317},
 title                = {Fast algorithms for the characteristic polynomial},
 volume               = {36},
 year                 = {1985},
 }

@article{Lauder2004a,
 author               = {Lauder, A.G.B.},
 journal              = {Foundations of Computational Mathematics},
 number               = {3},
 pages                = {221--267},
 title                = {Counting Solutions to Equations in Many Variables over Finite Fields},
 volume               = {4},
 year                 = {2004},
 }

@article{Lauder2004b,
 author               = {Lauder, A.G.B.},
 journal              = {Proc. London Math. Soc},
 pages                = {565--602},
 title                = {Deformation theory and the computation of zeta functions},
 volume               = {3},
 year                 = {2004},
 }

@article{Lauder2006,
 author               = {Lauder, A.G.B.},
 journal              = {LMS J. Comp. Math.},
 pages                = {222--269},
 title                = {A recursive method for computing zeta functions of varieties},
 volume               = {9},
 year                 = {2006},
 }

@article{Lauder2011,
 author               = {Lauder, A.G.B.},
 fjournal             = {LMS Journal of Computation and Mathematics},
 journal              = {LMS J. Comput. Math.},
 pages                = {1--33},
 title                = {Degenerations and limit {F}robenius structures in rigid cohomology},
 volume               = {14},
 year                 = {2011},
 }

@incollection{LauderWan2008,
 address              = {Cambridge},
 author               = {Lauder, A.G.B. and Wan, D.},
 booktitle            = {Algorithmic number theory: lattices, number fields, curves and cryptography},
 pages                = {579--612},
 publisher            = {Cambridge Univ. Press},
 series               = {Math. Sci. Res. Inst. Publ.},
 title                = {Counting points on varieties over finite fields of small characteristic},
 volume               = {44},
 year                 = {2008},
 }

@book{Macaulay1994,
 author               = {Macaulay, F.S.},
 publisher            = {Cambridge Univ. Press},
 series               = {Cambridge Mathematical Library},
 title                = {The Algebraic Theory of Modular Systems},
 year                 = {1994},
 }

@article{Mazur1972,
 author               = {Mazur, B.},
 journal              = {Bull. Amer. Math. Soc.},
 title                = {{F}robenius and the {H}odge filtration},
 volume               = {78},
 year                 = {1972},
 }

@article{Schoof1995,
 author               = {Schoof, R.},
 journal              = {Journal de Th{\'e}orie des Nombres de Bordeaux},
 pages                = {219-254},
 title                = {Counting points on elliptic curves over finite fields, 18{i\`emes} {J}ourn{\'e}es {A}rithm{\'e}tiques, {B}ordeaux 1993},
 volume               = {7},
 year                 = {1995},
 }

@book{sga7,
 author               = {Deligne, P. and Katz, N.M.},
 publisher            = {Springer Verlag},
 title                = {SGA {7 II}, Groupes de Monodromie en G{\'e}om{\'e}trie Alg{\'e}brique},
 year                 = {1973},
 }

@incollection {Williams2012,
    AUTHOR = {Williams, Virginia Vassilevska},
     TITLE = {Multiplying matrices faster than {C}oppersmith-{W}inograd
              [extended abstract]},
 BOOKTITLE = {S{TOC}'12---{P}roceedings of the 2012 {ACM} {S}ymposium on
              {T}heory of {C}omputing},
     PAGES = {887--898},
 PUBLISHER = {ACM, New York},
      YEAR = {2012},
   MRCLASS = {15-04 (68Q25)},
  MRNUMBER = {2961552},
}