On Kummer 3-folds

نویسندگان

  • Maria Donten
  • MARIA DONTEN
چکیده

We investigate a generalization of Kummer construction, as introduced in [AW08]. The aim of this work is to classify 3-dimensional Kummer varieties by computing their Poincaré polynomials.

برای دانلود رایگان 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

Intermediate Jacobian and Some Arithmetic Properties of Kummer-surface-type CY 3-folds

In this article, we examine the arithmetic aspect of the Kummer-surface-type CY 3-folds T̂/G, characterized by the crepant resolution of 3-torus-orbifold T/G with only isolated singularities. Up to isomorphisms, there are only two such space T̂/G with |G| = 3, 7, and both T carrying the structure of triple-product structure of a CM elliptic curve. The (Griffiths) intermediate Jacobians of these T̂...

متن کامل

ON SELBERG-TYPE SQUARE MATRICES INTEGRALS

In this paper we consider Selberg-type square matrices integrals with focus on Kummer-beta types I & II integrals. For generality of the results for real normed division algebras, the generalized matrix variate Kummer-beta types I & II are defined under the abstract algebra. Then Selberg-type integrals are calculated under orthogonal transformations.

متن کامل

Matrix Kummer-Pearson VII Relation and Polynomial Pearson VII Configuration Density

Abstract. A case of the matrix Kummer relation of Herz (1955) based on the Pearson VII type matrix model is derived in this paper. As a con- sequence, the polynomial Pearson VII configuration density is obtained and this sets the corresponding exact inference as a solvable aspect in shape theory. An application in postcode recognition, including a nu- merical comparison between the exact poly...

متن کامل

Arithmetic of Split Kummer Surfaces: Montgomery Endomorphism of Edwards Products

Let E be an elliptic curve, K1 its Kummer curve E/{±1}, E its square product, and K2 the split Kummer surface E /{±1}. The addition law on E gives a large endomorphism ring, which induce endomorphisms of K2. With a view to the practical applications to scalar multiplication on K1, we study the explicit arithmetic of K2.

متن کامل

Kummer Surfaces and K3 Surfaces with (z/2z) Symplectic Action

In the first part of this paper we give a survey of classical results on Kummer surfaces with Picard number 17 from the point of view of lattice theory. We prove ampleness properties for certain divisors on Kummer surfaces and we use them to describe projective models of Kummer surfaces of (1, d)polarized Abelian surfaces for d = 1, 2, 3. As a consequence we prove that in these cases the Néron–...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008