SYZYGY, the point on the orbit of a planet, or the moon when it is in conjunction with, or in opposition to, the sun.
"The Nuttall Encyclopaedia" by Edited by Rev. James Wood
Of the two lower Syzygies, or Lower Quaternary of the Aeons, we have no details from the Fathers.
"Simon Magus" by George Robert Stow Mead
Admire also the syzygy of those orbs.
"Prairie Farmer, Vol. 56: No. 3, January 19, 1884." by Various
The spring tides occur at the syzygies: the neap tides at the quadratures.
"Letters on Astronomy" by Denison Olmsted
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Hurricane Syzygy & Superluminous Supernovae -The Countdown, Episode 8.
Hurricane Syzygy, Ancient Starlight, Vesta Mystery, Superluminous Supernovae & 'Hawaiian' Soil on Mars.
Syzygy Biotech is a protein factory.
This kind of alignment of astronomical objects is called a syzygy and sailors have understood the effect for centuries.
Poet, lady journalists find SYZYGY at smorgasbord.
Jim Berkland, our local geologist, earthquake predictor and poet, stopped by Creekbottom House last week to share his latest SYZYGY, an earthquake newsletter.
Syzygy- Playing Tin Roof 2 11/09 at 7pm.
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Then the kth syzygies of rank k + 2 are called scrollar syzygies.
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
Scrollar syzygies are the easiest example of the geometric syzygies constructed by Green and Lazarsfeld in [GL84].
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
For special canonical curves it is important to consider the non reduced scheme structure on the space of scrollar syzygies as can be seen in the case of a curve of genus 6 with only one g1 5 [AH81, p. 174].
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
Also there are geometric kth-syzygies in the sense of Green and Lazarsfeld [GL84] which are not of rank k + 2.
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
Then all minimal rank syzygies are scrollar.
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
But by the corollary above there are no scrollar syzygies in step k > ⌈ g−5 2 ⌉.
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
Therefore there can be no syzygies at all in theses steps.
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
Then the scrollar ⌈ g−5 2 ⌉th syzygies of C are called the last scrollar syzygies of C .
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
Consider the vector bundle of linear forms L on the variety of Ymin of last scrollar syzygies.
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
It is well known that such a general linear section has syzygy spaces of the same dimension as X .
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
So one can consider a syzygy s of X also as a syzygy of X ∩ P(W ).
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
The rank of this syzygy can change however, if P(W ) does not intersect the zero locus Zs of s in the expected codimension.
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
Lets ﬁrst consider the dimensions of the spaces of linear syzygies.
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
Since dim V = 5 this gives the above syzygy numbers.
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
The last scrollar syzygies of C are ﬁrst syzygies of rank 3.
Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8
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