In this research Speiser will study projective plane curves, their duals, and some natural spaces which parametrize them. Enumerative problems, a conjecture of Tyrell about degenerations of nonsingular cubics, and general questions about transversality in arbitrary characteristic seem closely interconnected and this will be examined. A related problem about the existence of plane curves with given numerical characters will be considered, also. Recent progress on related questions by the principal investigator and his collaborators and others suggest attractive lines of attack for these problems.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
8802015
Program Officer
Ann K. Boyle
Project Start
Project End
Budget Start
1988-07-01
Budget End
1990-12-31
Support Year
Fiscal Year
1988
Total Cost
$31,000
Indirect Cost
Name
Brigham Young University
Department
Type
DUNS #
City
Provo
State
UT
Country
United States
Zip Code
84602