• Journal of the Korean Mathematical Society
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• v.54 no.3
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• pp.733-748
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• 2017

We give Hodge structures on quasitoric orbifolds. We define orbifold Hodge numbers and show a correspondence of orbifold Hodge numbers for crepant resolutions of quasitoric orbifolds. In short we extend Hodge structures to a non almost complex setting.

• Journal of the Korean Mathematical Society
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• v.53 no.2
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• pp.433-446
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• 2016

We construct projective embeddings of horospherical varieties of Picard number one by means of Fano varieties of cones over rational homogeneous varieties. Then we use them to give embeddings of smooth horospherical varieties of Picard number one as linear sections of rational homogeneous varieties.

• Bulletin of the Korean Mathematical Society
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• v.53 no.1
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• pp.263-272
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• 2016

By using the finite projective geometry method, the separating properties of linear constant-weight codes are presented. An algorithm is given for computing the cardinality of separating coordinate positions of certain disjoint codeword sets of linear constant-weight codes.

• Journal of the Korean Mathematical Society
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• v.42 no.2
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• pp.335-351
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• 2005

This paper concerns the relation between the degree and the projective dimension of linear systems on curves. We generalize Clifford's theorem and its improvement by Coppens and G. Martens and classify the special curves for our problem, and estimate their gonality.

• Communications of the Korean Mathematical Society
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• v.24 no.2
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• pp.247-263
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• 2009

In this paper we use degree and index theory to present new applicable fixed point theory for permissible maps.

• Communications of the Korean Mathematical Society
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• v.11 no.2
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• pp.407-413
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• 1996

The $(\alpha, \beta)$-metric is a Finsler metric which is constructed from a Riemannian metric $\alpha$ and a differential 1-form $\Beta$; it has been sometimes treat in theoretical physics. In particular, the projective flatness of Finsler space with a metric $L^2 = 2\alpha\beta$ is considered in detail.

• Bulletin of the Korean Mathematical Society
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• v.33 no.2
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• pp.187-191
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• 1996

Let C be a nonsingular complex projective algebraic curve (or a compact Riemann surface) of genus g. Let $M(C)$ denote the field of meromorphic functions on C and N the set of all non-negative integers.

• Journal of the Korean Mathematical Society
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• v.41 no.4
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• pp.755-772
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• 2004

We show that the Fourier-Laplace series of a distribution on the sphere is uniformly Cesaro-summable to zero on a neighborhood of a point if and only if this point does not belong to the support of the distribution. Similar results on the ball and on the real projective space are also proved.

• Bulletin of the Korean Mathematical Society
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• v.50 no.6
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• pp.2071-2077
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• 2013

In this paper we consider the existence of smooth conics on a general hypersurface of degree d in $\mathbb{P}^n$.

• Kyungpook Mathematical Journal
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• v.57 no.2
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• pp.327-329
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• 2017

For any even integer n, we show that there exists a log Calabi-Yau threefold (Y, D) such that the Euler characteristic of Y is n. Furthermore Y is smooth and D is smooth anticanonical section of Y that is a K3 surface.