A. Dan

activity

20142025

most citedNoether-Lefschetz locus and a special case of the variational Hodge conjecture

8 citations · 43 across the 27 of their papers we have counts for

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Showing 2014Show all

4 papers · 1 filter

math.AG2014★ 7 cited

On generically non-reduced components of Hilbert schemes of smooth curves

Ananyo Dan

A classical example of Mumford gives a generically non-reduced component of the Hilbert scheme of smooth curves in the projective 3-space such that a general element of the compone…

math.AG2014★ 3 cited

Non-reduced components of the Noether-Lefschetz locus

Ananyo Dan

For a fixed integer $d \geq 5$ , the Noether-Lefschetz locus parametrizes smooth degree $d$ complex hypersurfaces in $P^{3}$ with Picard number greater than $1$ . There are inf…

math.AG2014★ 8 cited

Noether-Lefschetz locus and a special case of the variational Hodge conjecture

Ananyo Dan

For a fixed integer $d$ , we study here the locus of degree $d$ hypersurfaces $X$ in $P^{2 n + 1}$ such that $H^{2 n} (X, Q) \cap H^{n, n} (X, C) \neq = Q$ …

math.AG2014★ 2 cited

On a conjecture due to Griffiths and Harris

Ananyo Dan

For a fixed $d \geq 5$ , the Noether-Lefschetz locus parametrizes smooth degree $d$ surfaces in $P^{3}$ with Picard number greater than $1$ . This is a countable union of prope…