A descent map for curves with totally degenerate semi-stable reduction

نویسندگان

چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Semi-stable Reduction for Curves

Given a normal proper and geometrically connected curve C over the function field K(S) of S, we seek “good” models over S. For instance, if we choose a projective embedding of C into some PK(S) then its Zariski closure in PS is an arithmetic surface (where the S-flatness uses that S is Dedekind). Hence, we can always find an arithmetic surface with generic fiber C. Since S is normal and C is re...

متن کامل

A descent method for explicit computations on curves

‎It is shown that the knowledge of a surjective morphism $Xto Y$ of complex‎ ‎curves can be effectively used‎ ‎to make explicit calculations‎. ‎The method is demonstrated‎ ‎by the calculation of $j(ntau)$ (for some small $n$) in terms of $j(tau)$ for the elliptic curve ‎with period lattice $(1,tau)$‎, ‎the period matrix for the Jacobian of a family of genus-$2$ curves‎ ‎complementing the classi...

متن کامل

Stable reduction of modular curves

We determine the stable reduction at p of all three point covers of the projective line with Galois group SL2(p). As a special case, we recover the results of Deligne and Rapoport on the reduction of the modular curves X0(p) and X1(p). Our method does not use the fact that modular curves are moduli spaces. Instead, we rely on results of Raynaud and the authors which describe the stable reductio...

متن کامل

A Stacky Semi–stable Reduction Theorem

We prove a stack–theoretic version of the semi–stable reduction theorem of Kempf, Knudsen, Mumford, and Saint–Donat.

متن کامل

Stable Reduction of Finite Covers of Curves

Let K be the function field of a connected regular scheme S of dimension 1, and let f : X → Y be a finite cover of projective smooth and geometrically connected curves over K with g(X) ≥ 2. Suppose that f can be extended to a finite cover X → Y of semi-stable models over S (it is known that this is always possible up to finite separable extension of K). Then there exists a unique minimal such c...

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

ژورنال

عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux

سال: 2013

ISSN: 1246-7405,2118-8572

DOI: 10.5802/jtnb.833