hieroglyphic
发表于 2025-3-26 22:16:15
Moduli Problems and Hilbert Schemes,erent moduli problems of manifolds. As a very first step towards their proofs, we will discuss properties a reasonable moduli functor should have and we will apply them to show that the manifolds or schemes considered correspond to the points of a locally closed subscheme of a certain Hilbert scheme.
轻快带来危险
发表于 2025-3-27 04:29:31
http://reply.papertrans.cn/79/7817/781619/781619_32.png
悬挂
发表于 2025-3-27 08:25:31
http://reply.papertrans.cn/79/7817/781619/781619_33.png
peak-flow
发表于 2025-3-27 12:24:48
http://reply.papertrans.cn/79/7817/781619/781619_34.png
接触
发表于 2025-3-27 16:31:57
,D. Mumford’s Geometric Invariant Theory,he statements which are used in this monograph, except for those coming from the theory of algebraic groups, such as the finiteness of the algebra of invariants under the action of a reductive group, we include proofs. Usually we just reproduce the arguments given by Mumford in (hopefully witho
xanthelasma
发表于 2025-3-27 21:46:26
http://reply.papertrans.cn/79/7817/781619/781619_36.png
sclera
发表于 2025-3-27 23:04:58
http://reply.papertrans.cn/79/7817/781619/781619_37.png
厚颜无耻
发表于 2025-3-28 05:54:38
Allowing Certain Singularities,gularities or, being very optimistic, to certain reduced schemes. However, nothing is known about the local closedness and the boundedness of the corresponding moduli functors, as soon as the dimension of the objects is larger than two. Reducible or non-normal schemes have to be added to the objects
Ptosis
发表于 2025-3-28 06:49:24
Book 1995meters, which he proposes to name "moduli". A precise formulation of global moduli problems in algebraic geometry, the definition of moduli schemes or of algebraic moduli spaces for curves and for certain higher dimensional manifolds have only been given recently (A. Grothendieck, D. Mumford, see [5
conference
发表于 2025-3-28 14:10:19
http://reply.papertrans.cn/79/7817/781619/781619_40.png