Real Aspects of the Moduli Space of Stable Maps of Genus Zero Curves

نویسنده

  • SEONGCHUN KWON
چکیده

We show that the moduli space of stable maps from a genus 0 curve into a nonsingular real convex projective variety having a real structure compatible with a complex conjugate involution on CP has a real structure. The real part of this moduli space consists of real maps having marked points on the real part of domain curves. This real part analysis enables us to relate the studies of real intersection cycles with real enumerative problems.

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

Real Aspects of the Moduli Space of Genus Zero Stable Maps

We show that the moduli space of genus zero stable maps is a real projective variety if the target space is a smooth convex real projective variety. We show that evaluation maps, forgetful maps are real morphisms. We analyze the real part of the moduli space.

متن کامل

Real Aspects of the Moduli Space of Genus Zero Stable Maps and Real Version of the Gromov-witten Theory

We show that the moduli space of genus zero stable maps is a real projective variety if the target space is a smooth convex real projective variety. We introduce the real version of the Gromov-Witten theory proposed by Gang Tian.

متن کامل

The genus zero Gromov–Witten invariants of the symmetric square of the plane

We study the Abramovich–Vistoli moduli space of genus zero orbifold stable maps to [Sym P], the stack symmetric square of P. This space compactifies the moduli space of stable maps from hyperelliptic curves to P, and we show that all genus zero Gromov–Witten invariants are determined from trivial enumerative geometry of hyperelliptic curves. We also show how the genus zero Gromov–Witten invaria...

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

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

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 2008