Hasse witt matrix
WebWe consider hyperelliptic curves in characteristic p>2 for which the Hasse-Witt matrix is the zero matrix. For such curves, we establish an upper bound on the genus g, namely g≤(p-1)/2. For g=(p-1)/2, we establish the fact that up to isomorphism, there is precisely one such curve, namely the one given by the equation y2=xp-x. We determine all hyeprelliptic … WebSep 1, 2024 · Hasse-Witt matrices, unit roots and period integrals Authors: An Huang Bong H. Lian Brandeis University Shing-Tung Yau Chenglong Yu Tsinghua University Abstract
Hasse witt matrix
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WebNov 14, 2013 · All the usual suspects I've searched (Milne's Étale cohomology, Mumford's red book, Hartshorne, Silverman) either omit the topic entirely, give a definition only for elliptic curves, or assume that the reader is already familiar with the Hasse-Witt matrix. WebHere is a useful repository of articles on Witt vectors. (The functor of p-typical Witt vectors provides the right adjoint to the forgetful functor from delta rings to rings.) ... 10 and 11; note that the proof of the connection between the Cartier operator on holomorphic differentials and the Hasse--Witt matrix that I give in my notes is ...
WebOct 30, 2024 · The Hasse-Witt matrix represents the action of the Frobenius operator on the cohomology group H^1 (X,O_X). The Cartier-Manin matrix represents the action of the Cartier operator on the space of holomorphic differentials of X. The operators that these matrices represent are dual to one another, so the Hasse-Witt matrix and the Cartier … WebSep 1, 2024 · Motivated by the work of Candelas, de la Ossa and Rodriguez-Villegas [6], we study the relations between Hasse-Witt matrices and period integrals of Calabi-Yau …
WebOct 29, 2024 · Hasse–Witt matrix and the Cartier –Manin matrix that began with Manin; we have already noted Lemma D [ 14 , p. 386], which says that the two matrices are “identified” with one another . 5. WebVia Serre duality, one can formally relate the Hasse-Witt matrix, which is defined in terms of the p -power Frobenius acting on H 1 ( C, O C), where O C is the structure sheaf, with …
WebSep 1, 2016 · The Hasse–Witt matrix of a projective hypersurface over a finite field of characteristic p gives essentially complete mod p information about the zeta function of the hypersurface. In particular, it determines the number of unit roots of the zeta function. L.
WebAug 9, 2024 · The Hasse-Witt matrix is known to be generically invertible for a “sufficiently general” polynomial \(f_\lambda\) (Koblitz , Miller [10, 11]). We recall the precise version of that fact that we need. shane firmin carpentry pty ltdWebComputing Hasse-Witt matrices of hyperelliptic curves in average polynomial time Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time David … shane finney duoWebFeb 13, 2014 · Our method employs the Hasse-Weil bounds in conjunction with the Hasse-Witt matrix for superelliptic curves, whose entries we express in terms of multinomial coefficients. We present a fast ... shane ford attorney oaklandWebSep 1, 2016 · For all i, j = 1, …, M, the coefficient A ¯ i j (Λ) of the Hasse–Witt matrix is a mod p solution of the A-hypergeometric system with parameter β = − a j +. Remark 1. … shane filan songs youtubeWebdescription of the Hasse–Witt matrix using modern language in [AH19]. When Hn(X,OX) is one-dimensional, the Hasse–Witt matrix is simply an element of Fq. Calabi–Yau varieties have this property, as do elliptic curves and K3 surfaces, their lower-dimensional counterparts. The Hasse–Witt matrix encapsulates information about the number of ... shane fixtershane fouldsWebFeb 13, 2014 · Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time David Harvey, Andrew V. Sutherland We present an efficient algorithm … shane footballer