Murphy’s Law for the Hilbert scheme (and the Chow variety, and moduli spaces of surfaces of general type, and stable maps, and nodal and cuspidal plane curves, and...)

نویسنده

  • Ravi Vakil
چکیده

Murphy’s Law for the Hilbert scheme (and the Chow variety, and moduli spaces of surfaces of general type, and stable maps, and nodal and cuspidal plane curves, and . . . )

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

Murphy’s Law in Algebraic Geometry: Badly-behaved Deformation Spaces

We consider the question: “How bad can the deformation space of an object be?” The answer seems to be: “Unless there is some a priori reason otherwise, the deformation space may be as bad as possible.” We show this for a number of important moduli spaces. More precisely, every singularity of finite type overZ (up to smooth parameters) appears on: the Hilbert scheme of curves in projective space...

متن کامل

An extension theorem for finite positive measures on surfaces of finite‎ ‎dimensional unit balls in Hilbert spaces

A consistency criteria is given for a certain class of finite positive measures on the surfaces of the finite dimensional unit balls in a real separable Hilbert space. It is proved, through a Kolmogorov type existence theorem, that the class induces a unique positive measure on the surface of the unit ball in the Hilbert space. As an application, this will naturally accomplish the work of Kante...

متن کامل

Mori’s Program for the Kontsevich Moduli Space M0,0(p, 3)

We run Mori’s program for the Kontsevich space of stable maps M0,0(P, 3) and give modular interpretations of all the intermediate spaces appearing in the process. In particular, we show that the closure of the twisted cubic curves in the Hilbert scheme H(P) is the flip of M0,0(P, 3) over the Chow variety.

متن کامل

The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces

The purpose of this note is to prove the rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces over the field of complex numbers. A Coble surface is a rational surface obtained by blowing up 10 nodes of a rational plane curve of degree 6, and an Enriques surface is said to be nodal if it contains a smooth rational curve. The moduli space of nodal Enriques surfaces is...

متن کامل

The Tautological Rings of the Moduli Spaces of Stable Maps to Flag Varieties

We show that the rational cohomology classes on the moduli spaces of genus zero stable maps to SL flag varieties are tautological. The Kontsevich moduli stacks of stable maps arise as generalizations of the classical Deligne-Mumford spaces of stable curves. Their intersection theory has been intensively studied in the last decade in relation to enumerative geometry and string theory. Partial re...

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 2004