Finite Type and the Effective Nullstellensatz

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Finite Type and the Effective Nullstellensatz

Improved local and global versions of the effective Nullstellensatz for ideal sheaves on non-singular complex varieties are obtained, based on a new invariant motivated by the notion of finite type from the theory of several complex variables. Two closely related curve selection theorems for curves with maximal adjusted tangency orders to a given ideal sheaf are established along the way, using...

متن کامل

Residue Calculus and Effective Nullstellensatz

where h is the maximal size in the sense of Mahler of the pj . There does not seem to exist so far an Arithmetic Division Theory that could provide good estimates for the Faltings heights of the cycles corresponding to qj or for the maximal Mahler size of the qj . Nevertheless, using analytic methods based on the existence of integral representation formulas in Complex Analysis and multidimensi...

متن کامل

Effective Difference Elimination and Nullstellensatz

We prove effective Nullstellensatz and elimination theorems for difference equations in sequence rings. More precisely, we compute an explicit function of geometric quantities associated to a system of difference equations (and these geometric quantities may themselves be bounded by a function of the number of variables, the order of the equations, and the degrees of the equations) so that for ...

متن کامل

Effective Differential Nullstellensatz

E↑ective di↑erential Nullstellensatz – page 1/19

متن کامل

On the finite field Nullstellensatz

Let X c pn be an irreducible projective variety defined over the finite field F q. We will say that X satisfies the property F F N (k, q) (Finite Field Nullstellensatz of degree k over F q) if every homogeneous polynomial over F q of degree k on pn vanishing on X (F q) vanishes on X, that is, it vanishes at all points of X defined over the algebraic closure of F q . We study when FFN(k,q) holds...

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: Communications in Algebra

سال: 2008

ISSN: 0092-7872,1532-4125

DOI: 10.1080/00927870802110342