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On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
We show that every effective smooth action of a Lie group G on a manifold M is a diffeomorphism from G onto its image in Diff(M), where the image is equipped with the subset diffeology of the functio...
We construct lci nilpotent scheme structures $Y \subset P$ on a smooth variety $X$ embedded in a smooth variety $P$, which are, locally, (i.e. in $\widehat{\mathcal O}_{p,P}$ ) given by ideals of the ...
In this paper which is the first of a series of papers on smooth structures, the concepts of C-structures and smooth structures are introduced and studied. The notion of smooth structure on semi-integ...
在群中通过其粗糙(正规)上子群构造了smooth(正规)子群;通过群及其正规子群诱导的smooth(正规)子群进一步构造了粗糙(正规)上子群,并给出它们之间的联系。
In this paper, we prove directly that $\alpha$-times integrated groups define algebra homomorphisms. We also give a theorem of equivalence between smooth distribution groups and $\alpha$-times integra...
In this paper, I have considered some problems of algebraic curves in some constructive way, especially, I give an algorithm for determining whether two given smooth plane curves are isomorphic and fi...
et Fq be a finite field of q = pa elements. Let X be a smooth quasi-projective subscheme of Pn of dimension m ≥ 0 over Fq. N. Katz asked for a finite field analogue of the Bertini smoothness theorem...
We characterize transversality, non-transversality properties on the moduli space of genus 0 stable maps to a rational projective surface. If a target space is equipped with a real structure, i.e, ant...

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