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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Quotients in algebraic geometry
 Kopřiva, Jakub ; Šťovíček, Jan (advisor) ; Příhoda, Pavel (referee)
This thesis is concerned with the existence of pushouts in two different settings of algebraic geometry. At first, we study the pushouts in the cat- egory of affine algebraic sets over an infinite field. We show that this can be regarded as an instance of much general problem whether the pullback of finitely generated algebras over a commutative Noetherian ring is finitely generated. We give a partial solution to this problem and study some ex- amples. Secondly, we examine the existence of pushouts in the category of schemes with an emphasis on diagrams of affine schemes. We use the methods of Ferrand [2003] and Schwede [2004] and generalise some of their results. We conclude by giving some examples and suggest another approach to the problem.
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Homotopy transfer for A-infinity algebras
 Kopřiva, Jakub ; Doubek, Martin (advisor) ; Markl, Martin (referee)
Homotopický přenos A∞ algeber Jakub Kopřiva Abstract This bachelor's thesis deals with the problem of homotopy transfer for A∞ algebras. It strives to give an account of the problem as complete and as self- contained as possible. At first, it presents the correspondence with codiffe- rentials on reduced tensor coalgebras and A∞ algebras, which is colloquially know as the bar construction. The thesis is, however, mainly concerned with the homotopy transfer for A∞ algebras accordning to Markl (2006). We de- duce the formulæ published by Markl and we give proof of their correctness. We also demonstrate that, under additional requirements, Markl's formulas coincide with formulas derived using the homological perturbation lemma.
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See also: similar author names
12 KOPŘIVA, Jan
12 Kopřiva, Jan
1 Kopřiva, Jan-Hugo
1 Kopřiva, Jaromír
4 Kopřiva, Jaroslav
3 Kopřiva, Jiří
6 Kopřiva, Josef
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