scholarly journals The high-dimensional cohomology of the moduli space of curves with level structures

2020 ◽  
Vol 22 (4) ◽  
pp. 1261-1287
Author(s):  
Neil Fullarton ◽  
Andrew Putman
Keyword(s):  
Moduli Space ◽  
High Dimensional ◽  
Moduli Space Of Curves

The Kodaira dimension of the moduli space of curves of genus ?23

1987 ◽  
Vol 90 (2) ◽  
pp. 359-387 ◽  
Author(s):  
David Eisenbud ◽  
Joe Harris
Keyword(s):  
Moduli Space ◽  
Kodaira Dimension ◽  
Moduli Space Of Curves

scholarly journals Brill–Noether loci in codimension two

2013 ◽  
Vol 149 (9) ◽  
pp. 1535-1568 ◽  
Author(s):  
Nicola Tarasca
Keyword(s):  
Moduli Space ◽  
Moduli Space Of Curves ◽  
Stable Curves ◽  
Codimension Two

AbstractLet us consider the locus in the moduli space of curves of genus$2k$defined by curves with a pencil of degree$k$. Since the Brill–Noether number is equal to$- 2$, such a locus has codimension two. Using the method of test surfaces, we compute the class of its closure in the moduli space of stable curves.

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