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Search options questions only not deleted user 2900
7 votes
1 answer
958 views

what can be reached by flat degeneration of (globally) complete intersection?

Let $X\subset\mathbb{P}^n$ be a (globally) complete intersection, let $(X_t)_{t\in\mathbb{C}^1}$ be a flat family, with $X_1=X$. Which types of schemes can we get as $X_0$? Or, conversely, which (emb …
Dmitry Kerner's user avatar
2 votes
1 answer
512 views

Looking for an inequality between Chern and Todd classes (something in style of Bogomolov-Mi...

Consider a smooth projective surface $S\subset\Bbb P^N_{\Bbb C}$ which is a complete intersection of hypersurfaces of degrees $(d_1,..,d_{k\ge2})$ with $d_i\ge2$ for all i. Is it true that for such s …
Dmitry Kerner's user avatar
11 votes
2 answers
1k views

Parameter space for complete intersections and their discriminant

Consider globally complete intersections in $\mathbb{P}^n$, of codimension $k$, of some fixed multi-degree $(d_1,\dots,d_k)$. Is there some nice (i.e. "explicit") parameter space for them? (even if …
Dmitry Kerner's user avatar