BIRATIONAL MAPS OF $3$-FOLDS

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

Birational Calabi-Yau 3-folds and BPS state counting

This paper contains some applications of Bridgeland-Douglas stability conditions on triangulated categories, and Joyce’s work on counting invariants of semistable objects, to the study of birational geometry. We introduce the notion of motivic Gopakumar-Vafa invariants as counting invariants of D2-branes, and show that they are invariant under birational transformations between Calabi-Yau 3-fol...

متن کامل

Birational Cobordisms and Factorization of Birational Maps

In this paper we develop a Morse-like theory in order to decompose birational maps and morphisms of smooth projective varieties defined over a field of characteristic zero into more elementary steps which are locallyétale isomorphic to equivariant flips, blow-ups and blow-downs of toric varieties (see Theorems 1, 2 and 3). The crucial role in the considerations is played by K *-actions where K ...

متن کامل

Birational Geometry of Quartic 3-folds Ii: the Importance of Being Q-factorial

The paper explores the birational geometry of terminal quartic 3-folds. In doing this I develop a new approach to study maximal singularities with positive dimensional centers. This allows to determine the pliability of a Q-factorial quartic with ordinary double points, and it shows the importance of Q-factoriality in the context of birational geometry of uniruled 3-folds.

متن کامل

Classification of elliptic and K3 fibrations birational to some Q-Fano 3-folds

A complete classification is presented of elliptic and K3 fibrations birational to certain mildly singular complex Fano 3-folds. Detailed proofs are given for one example case, namely that of a general hypersurface X of degree 30 in weighted P with weights 1,4,5,6,15; but our methods apply more generally. For constructing birational maps from X to elliptic and K3 fibrations we use Kawamata blow...

متن کامل

Birational Geometry of Terminal Quartic 3-folds. I Alessio Corti and Massimiliano Mella

1.1. Abstract. In this paper, we study the birational geometry of certain examples of mildly singular quartic 3-folds. A quartic 3-fold is a special case of a Fano variety, that is, a varietyX with ample anticanonical sheaf OX(−KX). Nonsingular Fano 3-folds have been studied quite extensively. From the point of view of birational geometry they basically fall within two classes: either X is “clo...

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: Taiwanese Journal of Mathematics

سال: 2015

ISSN: 1027-5487

DOI: 10.11650/tjm.19.2015.5337