output
19972026
most citedThe Eleventh and Twelfth Data Releases of the Sloan Digital Sky Survey: Final Data from SDSS-III

2.5k citations

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8 papers · 1 filter

math.AG2025

Smoothing surfaces on fourfolds

Scott Nollet, A. P. Rao

If are vector bundles of ranks on a smooth fourfold and is globally generated, it is well known that the…

math.AG2016

Grothendieck-Lefschetz Theorem with Base Locus

John Brevik, Scott Nollet

We compute the divisor class group of the general hypersurface Y of a complex projective normal variety X of dimension at least four containing a fixed base locus Z. We deduce that…

math.AG2009★ 13 cited

Detaching embedded points

Dawei Chen, Scott Nollet

We show that if is obtained from a codimension two local complete intersection by adding embedded points of multiplicity , then is a flat li…

math.AG2009

Hilbert scheme of a pair of codimension two linear subspaces

Dawei Chen, Izzet Coskun, Scott Nollet

We study the component H_n of the Hilbert scheme whose general point parameterizes a pair of codimension two linear subspaces in P^n for n > 2. We show that H_n is smooth and isomo…

math.AG2008★ 2 cited

Noether-Lefschetz theorem with base locus

John Brevik, Scott Nollet

We compute the class groups of very general normal surfaces in complex projective three-space containing an arbitrary base locus , thereby extending the classic Noether-Lefschet…

math.AG2007★ 9 cited

Birationality of étale morphisms via surgery

Scott Nollet, Laurence R. Taylor, Frederico Xavier

We use a counting argument and surgery theory to show that if is a sufficiently general algebraic hypersurface in , then any local diffeomorphism o…