Spaces of algebraic and continuous maps between real algebraic varieties
M Adamaszek, A Kozlowski… - The Quarterly Journal of …, 2011 - academic.oup.com
We consider the inclusion of the space of algebraic (regular) maps between real algebraic
varieties in the space of all continuous maps. For a certain class of real algebraic varieties …
varieties in the space of all continuous maps. For a certain class of real algebraic varieties …
An introduction to Geometric Manin's conjecture
S Tanimoto - arXiv preprint arXiv:2110.06660, 2021 - arxiv.org
arXiv:2110.06660v1 [math.AG] 13 Oct 2021 Page 1 arXiv:2110.06660v1 [math.AG] 13 Oct
2021 An introduction to Geometric Manin’s conjecture Sho Tanimoto Abstract. This is a survey …
2021 An introduction to Geometric Manin’s conjecture Sho Tanimoto Abstract. This is a survey …
Spaces of morphisms from a projective space to a toric variety
J Mostovoy, E Munguía-Villanueva - arXiv preprint arXiv:1210.2795, 2012 - arxiv.org
In this paper we study the space of morphisms from a complex projective space to a compact
smooth toric variety X. It is shown that the first author's stability theorem for the spaces of …
smooth toric variety X. It is shown that the first author's stability theorem for the spaces of …
The homotopy type of the space of algebraic loops on a toric variety
A Kozlowski, K Yamaguchi - Topology and its Applications, 2021 - Elsevier
We investigate the homotopy type of the space of tuples of polynomials inducing base-point
preserving algebraic maps from the circle S 1 to a toric variety X Σ. In particular, we prove a …
preserving algebraic maps from the circle S 1 to a toric variety X Σ. In particular, we prove a …
Simplicial resolutions and spaces of algebraic maps between real projective spaces
A Kozlowski, K Yamaguchi - Topology and its Applications, 2013 - Elsevier
We show that the space A˜ d (m, n) consisting of all real projective classes of (n+ 1)-tuples of
real coefficients homogeneous polynomials of degree d in (m+ 1) variables, without common …
real coefficients homogeneous polynomials of degree d in (m+ 1) variables, without common …
Spaces of algebraic maps from real projective spaces to toric varieties
A Kozlowski, M Ohno, K Yamaguchi - Journal of the Mathematical …, 2016 - jstage.jst.go.jp
The problem of approximating the infinite dimensional space of all continuous maps from an
algebraic variety X to an algebraic variety Y by finite dimensional spaces of algebraic maps …
algebraic variety X to an algebraic variety Y by finite dimensional spaces of algebraic maps …
Complex Bott Periodicity in algebraic geometry
H Larson, R Vakil - arXiv preprint arXiv:2411.09122, 2024 - arxiv.org
arXiv:2411.09122v1 [math.AG] 14 Nov 2024 Page 1 COMPLEX BOTT PERIODICITY IN
ALGEBRAIC GEOMETRY HANNAH LARSON AND RAVI VAKIL ABSTRACT. We state and …
ALGEBRAIC GEOMETRY HANNAH LARSON AND RAVI VAKIL ABSTRACT. We state and …
Stability phenomena in the topology of moduli spaces
RL Cohen - arXiv preprint arXiv:0908.1938, 2009 - arxiv.org
The recent proof by Madsen and Weiss of Mumford's conjecture on the stable cohomology of
moduli spaces of Riemann surfaces, was a dramatic example of an important stability …
moduli spaces of Riemann surfaces, was a dramatic example of an important stability …
Spaces of algebraic maps from real projective spaces into complex projective spaces
A Kozlowski, K Yamaguchi - Contemporary Math, 2010 - books.google.com
We study the homotopy types of spaces of algebraic (rational) maps from real projective
spaces into complex projective spaces. We showed in [1] that in this setting the inclusion of …
spaces into complex projective spaces. We showed in [1] that in this setting the inclusion of …
[PDF][PDF] FROM EXCEPTIONAL SETS TO NON-FREE SECTIONS
SHO TANIMOTO - 2024 - researchgate.net
This is a report of the author's talk at RIMS workshop Algebraic Number Theory and Related
Topics 2023 which was held at RIMS Kyoto University during December 11th–15th 2023 …
Topics 2023 which was held at RIMS Kyoto University during December 11th–15th 2023 …