Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Geometric Reductivity-A Quotient Space Approach


Affiliations
1 Chennai Mathematical Institute, Plot No. H1, SIPCOT IT Park, Padur Post, Siruseri-603103, Kanchipuram District, India
     

   Subscribe/Renew Journal


Mumford’s Geometric Invariant Theory or GIT is a major technique for finding quotients of algebraic schemes acted upon by reductive algebraic groups. It has been successful in finding solutions to moduli problems in the category of algebraic schemes. In the first edition (i.e., the 1965 edition) of Geometric Invariant Theory [13], Mumford restricted himself to algebraic schemes over fields of characteristic zero. In order to make his theory applicable over fields of arbitrary characteristic, he made the following conjecture in the Preface to the first edition of Ibid. (a conjecture subsequently proved by Haboush [5] in 1975).
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 214

PDF Views: 0




  • Geometric Reductivity-A Quotient Space Approach

Abstract Views: 214  |  PDF Views: 0

Authors

Pramathanath Sastry
Chennai Mathematical Institute, Plot No. H1, SIPCOT IT Park, Padur Post, Siruseri-603103, Kanchipuram District, India
C. S. Seshadri
Chennai Mathematical Institute, Plot No. H1, SIPCOT IT Park, Padur Post, Siruseri-603103, Kanchipuram District, India

Abstract


Mumford’s Geometric Invariant Theory or GIT is a major technique for finding quotients of algebraic schemes acted upon by reductive algebraic groups. It has been successful in finding solutions to moduli problems in the category of algebraic schemes. In the first edition (i.e., the 1965 edition) of Geometric Invariant Theory [13], Mumford restricted himself to algebraic schemes over fields of characteristic zero. In order to make his theory applicable over fields of arbitrary characteristic, he made the following conjecture in the Preface to the first edition of Ibid. (a conjecture subsequently proved by Haboush [5] in 1975).