Lifted p-Adic Homology with Compact Supports of the Weierstrass Family and Its Zeta Endomorphism

نویسنده

  • GoRO KAro
چکیده

The relations amona the generators for the lined,..&die homology witb compact IUpporU of tbe various IUbflmllieJ oltbe Wtierstrus Cunily in chlr.cteristic p > 0 (p" 2, ]) lte explicitly Ii~n in section 2. Then, the universal codT~t lpectral lequeoee .nd the uta endomorphism io Section ] enable one to compute uplicitly the lifted p-adic bomol.olY with eornJ¥d IUpporti of all fibres, includillJ au tbe dliptie CUrvt:l .Dd all their tinauJlI dtamerationt in the family. Cl IttO .......... _...

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Contempor @bullet@bullety M@bullet@bullet Hm.';a Voi"me 133. 11ki2

I A p.Adic Cohomological Melhod for the i Weierstrass Family and Its Zeta Invariants I I GOROKATO Dedicated 10 my parents. ABSTRACT. Arter a survey of the Weierstrass family and cohomology, we compute lhe lifted homology of lhe Weierstrass family wilh compact supports so that explicit formulae for the zeta function of each fibre of the Weierstrass family may be obtained. The (co-)homology theor...

متن کامل

On the Generators of the First Homology with Compact Supports of the Weierstrass Family in Characteristic Zero

Let WQ = Proj(Q[g2' g3' X, Y, ZJI(homogeneous ideal generated by y 2Z + 4X3 g2XZ2 g3Z3». This is said to be the Weierstrass Family over the field Q. Then the first homology with compact supports of the Weierstrass Family is computed explicitly, i.e., it is generated by {C-kdX 1\ dYh .. , and {XC-kdX 1\ dYh .. 1 over the ring Q[g2' g3]' where C is a polynomial y 2 4X3 + g2 X + g3' When one tenso...

متن کامل

Dwork ’ s conjecture on unit root zeta functions

In this article, we introduce a systematic new method to investigate the conjectural p-adic meromorphic continuation of Professor Bernard Dwork’s unit root zeta function attached to an ordinary family of algebraic varieties defined over a finite field of characteristic p. After his pioneer p-adic investigation of the Weil conjectures on the zeta function of an algebraic variety over a finite fi...

متن کامل

A vanishing result for Igusa’s p-adic zeta functions with character

Let K be a p-adic field and let f be a K-analytic function on an open and compact subset of K3. Let R be the valuation ring of K and let χ be an arbitrary character of R×. Let Zf,χ(s) be Igusa’s p-adic zeta function. In this paper, we prove a vanishing result for candidate poles of Zf,χ(s). This result implies that Zf,χ(s) has no pole with real part less than −1 if f has no point of multiplicit...

متن کامل

Completely continuous endomorphisms of p-adic Banach spaces

In Dwork’s memoir [3] concerning the rationality of zeta functions, an essential role is played by the p-adic analytic function det(1− tu), where u is a certain infinite matrix. This analytic function is an entire function, exactly as in the classical Fredholm theory. It was natural to pursue this analogy and extend to u the spectral theory of F. Riesz; this is just what Dwork did ([4], §2). In...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011