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- Title
Incidence varieties in the projectivized kth Hodge bundle over curves with rational tails.
- Authors
Gheorghita, Iulia; Tarasca, Nicola
- Abstract
Over the moduli space of pointed smooth algebraic curves, the projectivized k th Hodge bundle is the space of k -canonical divisors. The incidence loci are defined by requiring the k -canonical divisors to have prescribed multiplicities at the marked points. We compute the classes of the closure of the incidence loci in the projectivized k th Hodge bundle over the moduli space of curves with rational tails. The classes are expressed as a linear combination of tautological classes indexed by decorated stable graphs with coefficients enumerating appropriate weightings. As a consequence, we obtain an explicit expression for some relations in tautological rings of moduli of curves with rational tails.
- Subjects
ALGEBRAIC curves; ALGEBRAIC spaces; LOCUS (Mathematics); RATIONAL points (Geometry)
- Publication
Communications in Contemporary Mathematics, 2024, Vol 26, Issue 5, p1
- ISSN
0219-1997
- Publication type
Article
- DOI
10.1142/S0219199723500153