scholarly journals A remark on the Chern classes of local complete intersections

1997 ◽  
Vol 73 (5) ◽  
pp. 93-95 ◽  
Author(s):  
Toru Ohmoto ◽  
Tatsuo Suwa ◽  
Shoji Yokura
Keyword(s):  
Complete Intersections ◽  
Chern Classes ◽  
Local Complete Intersections

scholarly journals A note on thick subcategories of stable derived categories

2013 ◽  
Vol 212 ◽  
pp. 87-96
Author(s):  
Henning Krause ◽  
Greg Stevenson
Keyword(s):  
Derived Categories ◽  
Derived Category ◽  
Complete Intersections ◽  
Line Bundles ◽  
Finitely Generated ◽  
Exact Category ◽  
Coherent Sheaves ◽  
Noetherian Scheme ◽  
Finitely Generated Modules ◽  
Local Complete Intersections

AbstractFor an exact category having enough projective objects, we establish a bijection between thick subcategories containing the projective objects and thick subcategories of the stable derived category. Using this bijection, we classify thick subcategories of finitely generated modules over strict local complete intersections and produce generators for the category of coherent sheaves on a separated Noetherian scheme with an ample family of line bundles.

“$${\mathbb {P}}^1$$P1-gluing” for local complete intersections

2019 ◽  
Vol 294 (1-2) ◽  
pp. 667-685
Author(s):  
Mrinal Kanti Das ◽  
Soumi Tikader ◽  
Md. Ali Zinna
Keyword(s):  
Complete Intersections ◽  
Local Complete Intersections

scholarly journals Milnor classes of local complete intersections

2001 ◽  
Vol 354 (4) ◽  
pp. 1351-1371 ◽  
Author(s):  
J.-P. Brasselet ◽  
D. Lehmann ◽  
J. Seade ◽  
T. Suwa
Keyword(s):  
Complete Intersections ◽  
Local Complete Intersections

scholarly journals Which Schubert varieties are local complete intersections?

2013 ◽  
Vol 107 (5) ◽  
pp. 1004-1052 ◽  
Author(s):  
Henning Ulfarsson ◽  
Alexander Woo
Keyword(s):  
Schubert Varieties ◽  
Complete Intersections ◽  
Local Complete Intersections

scholarly journals Milnor fibers and links of local complete intersections

2014 ◽  
Vol 25 (11) ◽  
pp. 1450110
Author(s):  
David B. Massey
Keyword(s):  
Complete Intersection ◽  
Arbitrary Dimension ◽  
Singular Locus ◽  
Derived Category ◽  
Complete Intersections ◽  
Local Complete Intersections

There are essentially no previously-known results which show how Milnor fibers, real links, and complex links "detect" the dimension of the singular locus of a local complete intersection. In this paper, we show how a good understanding of the derived category and the perverse t-structure quickly yields such results for local complete intersections with singularities of arbitrary dimension.

scholarly journals Modules over algebraic cobordism

2020 ◽  
Vol 8 ◽  
Author(s):  
Elden Elmanto ◽  
Marc Hoyois ◽  
Adeel A. Khan ◽  
Vladimir Sosnilo ◽  
Maria Yakerson
Keyword(s):  
Homotopy Type ◽  
Vector Bundles ◽  
Complete Intersections ◽  
Perfect Field ◽  
Loop Spaces ◽  
Nonnegative Rank ◽  
Moduli Stack ◽  
Algebraic Cobordism ◽  
Local Complete Intersections ◽  
The Way

Abstract We prove that the $\infty $ -category of $\mathrm{MGL} $ -modules over any scheme is equivalent to the $\infty $ -category of motivic spectra with finite syntomic transfers. Using the recognition principle for infinite $\mathbf{P} ^1$ -loop spaces, we deduce that very effective $\mathrm{MGL} $ -modules over a perfect field are equivalent to grouplike motivic spaces with finite syntomic transfers. Along the way, we describe any motivic Thom spectrum built from virtual vector bundles of nonnegative rank in terms of the moduli stack of finite quasi-smooth derived schemes with the corresponding tangential structure. In particular, over a regular equicharacteristic base, we show that $\Omega ^\infty _{\mathbf{P} ^1}\mathrm{MGL} $ is the $\mathbf{A} ^1$ -homotopy type of the moduli stack of virtual finite flat local complete intersections, and that for $n>0$ , $\Omega ^\infty _{\mathbf{P} ^1} \Sigma ^n_{\mathbf{P} ^1} \mathrm{MGL} $ is the $\mathbf{A} ^1$ -homotopy type of the moduli stack of finite quasi-smooth derived schemes of virtual dimension $-n$ .

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