IJPAM: Volume 88, No. 3 (2013)
CURVES WITH SEVERAL THETA-CHARACTERISTICS
WITH A PRESCRIBED NUMBER OF SECTIONS: A QUESTION LIST
WITH A PRESCRIBED NUMBER OF SECTIONS: A QUESTION LIST
E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. Let
, , , be the moduli scheme of all
, where
is a smooth curve of genus and each is a theta-characteristic.
For all , , set
for all .
Here we raise several questions on these algebraic sets. We show that if is a general element of a component of
with the expect codimension
and
is general in , then each has no base points.
Received: June 11, 2013
AMS Subject Classification: 14H10, 14H51
Key Words and Phrases: theta-characteristic, spin curve, Gaussian map
Download paper from here.
DOI: 10.12732/ijpam.v88i3.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 88
Issue: 3