### SECANT VARIETIES TO THE VARIETY OF REDUCIBLE FORMS

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Shin, Yong-Su

• 투고 : 2013.09.27
• 심사 : 2014.01.06
• 발행 : 2014.02.15
• 20 9

#### 초록

We completely classify the dimension of secant varieties $Sec_1(\mathbb{X}_{{\lambda},2})$ to the variety of reducible forms in $\mathbf{k}[x_0,x_1,x_2]$ when ${\lambda}=(1,{\cdots},1,3,{\cdots},3$), and also show that they are all non-defective.

#### 키워드

star-configurations;linear star-configurations;secant varieties

#### 참고문헌

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