Algebraic & Geometric Topology Volume 23, issue 7 (2023)

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Stable cohomology of the universal degree $d$ hypersurface in $\mathbb{P}^n$

Ishan Banerjee

Algebraic & Geometric Topology 23 (2023) 3071–3088

DOI: 10.2140/agt.2023.23.3071

Bibliography

1	T Church, J S Ellenberg, B Farb, Representation stability in cohomology and asymptotics for families of varieties over finite fields, from: "Algebraic topology: applications and new directions", Contemp. Math. 620, Amer. Math. Soc. (2014) 1 MR3290085
2	R L Cohen, Stability phenomena in the topology of moduli spaces, from: "Geometry of Riemann surfaces and their moduli spaces" (editors L Ji, S A Wolpert, S T Yau), Surv. Differ. Geom. 14, International (2009) 23 MR2655322
3	R Das, Cohomology of the universal smooth cubic surface, Q. J. Math. 72 (2021) 795 MR4310300
4	S L Kleiman, D Laksov, Schubert calculus, Amer. Math. Monthly 79 (1972) 1061 MR323796
5	R C Lacher, Cell-like mappings, I, Pacific J. Math. 30 (1969) 717 MR251714
6	C A M Peters, J H M Steenbrink, Degeneration of the Leray spectral sequence for certain geometric quotients, Mosc. Math. J. 3 (2003) 1085 MR2078574
7	O Tommasi, Rational cohomology of the moduli space of genus 4 curves, Compos. Math. 141 (2005) 359 MR2134272
8	O Tommasi, Stable cohomology of spaces of non-singular hypersurfaces, Adv. Math. 265 (2014) 428 MR3255466
9	R Vakil, M M Wood, Discriminants in the Grothendieck ring, Duke Math. J. 164 (2015) 1139 MR3336842
10	V A Vassiliev, How to calculate the homology of spaces of nonsingular algebraic projective hypersurfaces, Tr. Mat. Inst. Steklova 225 (1999) 132 MR1725936