20 citations · 154 across the 33 of their papers we have counts for
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math.AG2019
Moment maps and cohomology of non-reductive quotients
Gergely Bérczi, Frances Kirwan
Let be a complex linear algebraic group with internally graded unipotent radical acting on a complex projective variety . Given an ample linearisation of the action and an a…
math.AG2019★ 2 cited
Non-reductive geometric invariant theory and hyperbolicity
Gergely Bérczi, Frances Kirwan
The Green--Griffiths--Lang and Kobayashi hyperbolicity conjectures for generic hypersurfaces of polynomial degree are proved using intersection theory for non-reductive geometric i…
math.DG2019
Morse theory without nondegeneracy
Frances Kirwan, Geoffrey Penington
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any nondegeneracy assumptions except that the critical locus must have only fi…