| Description: | [DMS seminar] Dr. Sarbeswar Pal, IISER Trivandrum -- On Constancy of Second Co-ordinate of the gonality sequence |
| Date: | Wednesday, Dec 13, 2017 |
| Time: | 11 a.m. - noon |
| Venue: | G09, Lecture Hall Complex |
| Details: | Given a smooth irreducible projective curve $C$ and an integer $r$ one can associate an integer $d_r,$ as the minimal degree of a line bundle with $r+1$ sections. Thus to each curve one can associate a sequence $(d_1, d_2, ...)$ called gonality sequence. The first co-ordinate of the gonality sequence is known as the gonality of $C$. Let $X$ be a smooth projective K3 surface over the field of complex numbers and $L$ be a line bundle on $X$. Then the natural question one can ask whether the gonality sequence remains constant as $C$ varies in $|L|_s$, where $|L|_s = \{C \in |L| : C \text{ is smooth }\}$. In this talk we will discuss the behavior of the second co-ordinate of the gonality sequence along a linear system on K3 surfaces. |
| Calendar: | Meeting Calendar (entered by sduttabhowmik) |