On some modular contractions of the moduli space of stable pointed curves
نویسندگان
چکیده
The aim of this paper is to study some modular contractions the moduli space stable pointed curves. These new spaces, which are compactifications smooth curves, related with minimal model program for curves and have been introduced in a previous work authors. We interpret them as log canonical models adjoints divisors we then describe Shokurov decomposition region boundary on
منابع مشابه
Moduli spaces of weighted pointed stable curves
It has long been understood that a moduli space may admit a plethora of different compactifications, each corresponding to a choice of combinatorial data. Two outstanding examples are the toroidal compactifications of quotients of bounded symmetric domains [AMRT] and the theory of variation of geometric invariant theory (GIT) quotients [BP] [DH] [Th]. However, in both of these situations a modu...
متن کاملOn Log Canonical Models of the Moduli Space of Stable Pointed Curves
n≥0 Γ(nKMg). Mg has been proven to be of general type for g ≥ 22 [EH,Fa,HaMu]. In particular in this case the finite generation of the canonical ring implies that the canonical model is birational to Mg. Recent progress has been made in this area. For example [BCHM] have proved the existence of canonical models in the case of smooth projective varieties of general type. A somewhat easier proble...
متن کاملA Generalization of the Moduli Space of Pointed Stable Rational Curves
We introduce a smooth projective variety Td,n which may be viewed either as a compactification of the space of n distinct points on affine d-space modulo translation and homothety or as a compactification of the space of embeddings of a hyperplane in P together with n distinct points not lying on the hyperplane, up to projective equivalence. The points in the boundary of this compactification c...
متن کاملApplied Mori theory of the moduli space of stable pointed rational curves
We investigate questions motivated by Mori’s program for the moduli space of stable pointed rational curves, M0,n. In particular, we study the nef cone of M0,n (Chapter 2), the Cox ring of M0,n (Chapter 3), and the cone of movable curves of M0,6 (Chapter 4). In Chapter 2, we prove Fulton’s conjecture forM0,n, n ≤ 7, which states that any divisor on M0,n non-negatively intersecting all members o...
متن کاملSmall rational curves on the moduli space of stable bundles
For a smooth projective curve C with genus g ≥ 2 and a degree 1 line bundle L on C, let M := SUC(r,L) be the moduli space of stable vector bundles of rank r over C with the fixed determinant L. In this paper, we study the small rational curves on M and estimate the codimension of the locus of the small rational curves. In particular, we determine all small rational curves when r = 3.
متن کاملذخیره 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: Algebra & Number Theory
سال: 2021
ISSN: ['1944-7833', '1937-0652']
DOI: https://doi.org/10.2140/ant.2021.15.1245