CYCLIC COVERING MORPHISMS ON M0,n

نویسنده

  • MAKSYM FEDORCHUK
چکیده

We study cyclic covering morphisms from M0,n to moduli spaces of unpointed stable curves of positive genus or compactified moduli spaces of principally polarized abelian varieties. Our main application is a construction of new semipositive vector bundles and nef divisors on M0,n, with a view toward the F-conjecture. In particular, we construct new extremal rays of Nef(M0,n/Sn). We also find an alternate description of all sl level 1 conformal blocks divisors on M0,n.

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

Divisors on the Moduli Spaces of Stable Maps to Flag Varieties and Reconstruction

We determine generators for the codimension 1 Chow group of the moduli spaces of genus zero stable maps to flag varieties G/P . In the case of SL flags, we find all relations between our generators, showing that they essentially come from M0,n. In addition, we analyze the codimension 2 classes on the moduli spaces of stable maps to Grassmannians and prove a new codimension 2 relation. This will...

متن کامل

TAUTOLOGICAL CLASSES ON THE MODULI SPACES OF STABLE MAPS TO Pr VIA TORUS ACTIONS

In our previous paper [18], we introduced the tautological rings of the genus zero moduli spaces of stable maps to homogeneous spaces X. We showed that in the case of SL flags, all rational cohomology classes on the stable map spaces are tautological using methods from Hodge theory. The purpose of this note is to indicate a localization proof, in the spirit of Gromov-Witten theory, when X is a ...

متن کامل

Tautological Classes on the Moduli Spaces of Stable Maps to Projective Spaces

We present a localization proof of the fact that the cohomology of the moduli spaces of genus zero stable maps to projective spaces is entirely tautological. In addition, we obtain a description of a Bialynicki-Birula stratification on M0,n(P , d) in the context of Gathmann’s moduli spaces of maps with prescribed contact order to a fixed hyperplane. In our previous paper [O], we introduced the ...

متن کامل

The Tautological Rings of the Moduli Spaces of Stable Maps

We study the tautological rings of the moduli spaces of genus zero stable maps. We show that the rational cohomology of the genus zero stable map spaces to SL flag varieties is entirely tautological. We also discuss the cohomology classes on the space of marked rational irreducible maps to P. The moduli spaces of stable maps received a lot of attention in the past decade due to their relevance ...

متن کامل

Sl N Level 1 Conformal Blocks Divisors on M 0,n

We study a family of semiample divisors on the moduli spaceM0,n that come from the theory of conformal blocks for the Lie algebra sln and level 1. The divisors we study are invariant under the action of Sn on M0,n. We compute their classes and prove that they generate extremal rays in the cone of symmetric nef divisors on M0,n. In particular, these divisors define birational contractions of M0,...

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 2013