EXTREMAL EFFECTIVE DIVISORS ON M1,n

نویسندگان

  • DAWEI CHEN
  • IZZET COSKUN
چکیده

For every n ≥ 3, we exhibit infinitely many extremal effective divisors on M1,n, the Deligne-Mumford moduli space parameterizing stable genus one curves with n ordered marked points.

برای دانلود 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

EXTREMAL EFFECTIVE DIVISORS OF BRILL-NOETHER AND GIESEKER-PETRI TYPE IN M1,n

We show that certain divisors of Brill-Noether and Gieseker-Petri type span extremal rays of the effective cone in the moduli space of stable genus one curves with n ordered marked points. In particular, they are different from the infinitely many extremal rays found in [CC].

متن کامل

On the effective cone of the moduli space of pointed rational curves

For a smooth projective variety, Kleiman’s criterion for ample divisors states that the closed ample cone (i.e., the nef cone) is dual to the closed cone of effective curves. Since the work of Mori, it has been clear that extremal rays of the cone of effective curves play a special role in birational geometry. These correspond to certain distinguished supporting hyperplanes of the nef cone whic...

متن کامل

An Extremal Effective Survey about Extremal Effective Cycles in Moduli Spaces of Curves

We survey recent developments and open problems about extremal effective divisors and higher codimension cycles in moduli spaces

متن کامل

CYCLIC COVERING MORPHISMS ON M0,n

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 ...

متن کامل

Extremal orders of some functions connected to regular integers modulo n

Let V (n) denote the number of positive regular integers (mod n) less than or equal to n. We give extremal orders of V (n)σ(n) n2 , V (n)ψ(n) n2 , σ(n) V (n) , ψ(n) V (n) , where σ(n), ψ(n) are the sum-of-divisors function and the Dedekind function, respectively. We also give extremal orders for σ∗(n) V (n) and φ∗(n) V (n) , where σ∗(n) and φ∗(n) represent the sum of the unitary divisors of n a...

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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014