Transformation Groups Springer Science+Business Media New York (2018) COHOMOLOGY OF THE FLAG VARIETY UNDER PBW DEGENERATIONS MARTINA LANINI ELISABETTA STRICKLAND Dipartimento di Matematica Dipartimento di Matematica Universit a di Roma \Tor Vergata" Universit a di Roma \Tor Vergata" Via della Ricerca Scienti ca 1, Via della Ricerca Scienti ca 1, I-00133 Rome, Italy I-00133 Rome, Italy email@example.com firstname.lastname@example.org Abstract. PBW degenerations are a particularly nice family of proper at degenerations of type A ag varieties. We show that the cohomology of any PBW degeneration of the ag variety surjects onto the cohomology of the original ag variety, and that this holds in an equivariant setting too. We also prove that the same is true in the symplectic setting when considering Feigin's linear degeneration of the symplectic ag variety. 1. Introduction Degenerate ag varieties were introduced by Feigin in [Fei] by Lie theoretic methods, and extensively investigated afterwards, from several viewpoints. In type A they admit a linear algebraic description, which inspired a series of papers [CFR12], [CFR13], by Cerulli Irelli, Feigin and Reineke, where they produce a realisation of these degenerations in terms of quiver Grassmannians which was exploited, for example, to produce a cellularization or to study the
Transformation Groups – Springer Journals
Published: May 29, 2018
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.
Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.
All the latest content is available, no embargo periods.
“Hi guys, I cannot tell you how much I love this resource. Incredible. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud
“I must say, @deepdyve is a fabulous solution to the independent researcher's problem of #access to #information.”@deepthiw
“My last article couldn't be possible without the platform @deepdyve that makes journal papers cheaper.”@JoseServera